02431nam 2200481 450 991072006050332120230803203012.03-031-28398-810.1007/978-3-031-28398-7(MiAaPQ)EBC7246015(Au-PeEL)EBL7246015(DE-He213)978-3-031-28398-7(OCoLC)1378937973(PPN)270614036(EXLCZ)992658185800004120230803d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSolvable algebras of pseudodifferential operators /Boris Plamenevskii and Oleg Sarafanov1st ed. 2023.Cham, Switzerland :Springer Nature Switzerland AG,[2023]©20231 online resource (249 pages)Pseudo-Differential Operators, Theory and Applications,2297-0363 ;15Print version: Plamenevskii, Boris Solvable Algebras of Pseudodifferential Operators Cham : Springer International Publishing AG,c2023 9783031283970 Includes bibliographical references.This book presents original research results on pseudodifferential operators. C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed. Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied. An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras.Pseudo-Differential Operators, Theory and Applications,2297-0363 ;15Pseudodifferential operatorsPseudodifferential operators.515.7242Plamenevskii Boris1355317Sarafanov OlegMiAaPQMiAaPQMiAaPQBOOK9910720060503321Solvable Algebras of Pseudodifferential Operators3359442UNINA